TY - GEN
T1 - Bifurcation in mutually coupled three neurons with inhibitory synapses
AU - Ioka, Eri
AU - Matusya, Yasuyuki
AU - Kitajima, Hiroyuki
PY - 2011
Y1 - 2011
N2 - We investigate a system of mutually coupled three neurons in a line with the inhibitory synapses as a basic motif of complex networks. For class I and class II neurons, bifurcation structure is analyzed when we change the external DC current of a middle neuron. In both classes, the neurons have a wide parameter region in which stable 1:2 cluster synchronous firing is observed as the external DC current of a middle neuron becomes larger than that of outer neurons. For only class I neurons, we observe the stable non-in-phase synchronous firing between three neurons.
AB - We investigate a system of mutually coupled three neurons in a line with the inhibitory synapses as a basic motif of complex networks. For class I and class II neurons, bifurcation structure is analyzed when we change the external DC current of a middle neuron. In both classes, the neurons have a wide parameter region in which stable 1:2 cluster synchronous firing is observed as the external DC current of a middle neuron becomes larger than that of outer neurons. For only class I neurons, we observe the stable non-in-phase synchronous firing between three neurons.
UR - http://www.scopus.com/inward/record.url?scp=80155171612&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=80155171612&partnerID=8YFLogxK
U2 - 10.1109/ECCTD.2011.6043617
DO - 10.1109/ECCTD.2011.6043617
M3 - Conference contribution
AN - SCOPUS:80155171612
SN - 9781457706189
T3 - 2011 20th European Conference on Circuit Theory and Design, ECCTD 2011
SP - 612
EP - 615
BT - 2011 20th European Conference on Circuit Theory and Design, ECCTD 2011
T2 - 2011 20th European Conference on Circuit Theory and Design, ECCTD 2011
Y2 - 29 August 2011 through 31 August 2011
ER -